In the given circuit diagram,when the current | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) In the steady state,the capacitor acts as an open circuit,so no current flows through the branch containing the capacitor $C$ and resistor $r_1$.T

Vedclass · Accepted Answer

$CE \frac{r_2}{r + r_2}$

Vedclass · Answer

(C) In the steady state,the capacitor acts as an open circuit,so no current flows through the branch containing the capacitor $C$ and resistor $r_1$.The circuit reduces to a simple series circuit consisting of the battery $E$ and resistors $r$ and $r_2$.The current $i$ flowing through the circuit is given by:$i = \frac{E}{r + r_2}$The potential difference across the capacitor $V_c$ is equal to the potential difference across the resistor $r_2$ because they are connected in parallel.$V_c = i \cdot r_2 = \left( \frac{E}{r + r_2} \right) r_2$The charge $Q$ on the capacitor is given by $Q = C V_c$.Substituting the value of $V_c$:$Q = C \left( \frac{E r_2}{r + r_2} \right) = CE \frac{r_2}{r + r_2}$

In the given circuit diagram,when the current reaches a steady state,the charge on the capacitor of capacitance $C$ will be:

Similar Questions

Switch $S$ of the circuit shown in the figure is in position $1$ for a long time. At instant $t = 0$,it is thrown from position $1$ to $2$. Find the thermal power $P_1(t)$ generated in resistance $R_1$.

$A$ $4 \mu F$ capacitor and a resistance of $2.5 \, M\Omega$ are in series with a $12 \, V$ battery. Find the time after which the potential difference across the capacitor is $3$ times the potential difference across the resistor. (Given $\ln(2) = 0.693$)

When the switch $K$ is closed at $t = 0$,what can be said about the current passing through the resistor $AB$ in the given circuit?

In the circuit shown,when the key $K$ is pressed at time $t = 0$,which of the following statements about current $I$ in the resistor $AB$ is true?

In the given circuit,switch $S$ is closed at $t = 0$. The current $I$ in the figure at time $t$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module